Question

Simplify the expression. Rewrite using only positive exponents.

Answer 1

The simplification form of the provided expression is x¹⁸a³b³ option

(d) x¹⁸a³b³ is correct.

What is an integer exponent?

In mathematics, integer exponents are exponents that should be integers. It may be a positive or negative number. In this situation, the positive integer exponents determine the number of times the base number should be multiplied by itself.

It is given that:

The expression:

$= \rm (\dfrac{x^4a^2b^3}{x^{-2}ab^2})^3$

After using the integer exponent property:

$\rm =\dfrac{x^{12}a^6b^9x^6}{a^3b^6}$

= a³b³x¹⁸ Or

=x¹⁸a³b³

Thus, the simplification form of the provided expression is x¹⁸a³b³ option

(d) x¹⁸a³b³ is correct.

Learn more about the integer exponent here:

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